Secondary Students' Quantification of Ratio and Rate: A Framework for Reasoning about Change in Covarying Quantities

Autor/in	Johnson, Heather Lynn
Titel	Secondary Students' Quantification of Ratio and Rate: A Framework for Reasoning about Change in Covarying Quantities
Quelle	In: Mathematical Thinking and Learning: An International Journal, 17 (2015) 1, S.64-90 (27 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1098-6065
DOI	10.1080/10986065.2015.981946
Schlagwörter	Secondary School Students; Mathematical Concepts; Logical Thinking; Case Studies; Secondary School Mathematics; Change; Grounded Theory; Interviews + Suchen Sie Ihr Suchwort? Sekundarschüler; Case study; Fallstudie; Case Study; Wandel; Interviewing; Interviewtechnik
Abstract	Contributing to a growing body of research addressing secondary students' quantitative and covariational reasoning, the multiple case study reported in this article investigated secondary students' quantification of ratio and rate. This article reports results from a study investigating students' quantification of rate and ratio as relationships between quantities and presents the "Change in Covarying Quantities Framework", which builds from Carlson, Jacobs, Coe, Larsen, and Hsu's (2002) Covariation Framework. Each of the students in this study was consistent in terms of the quantitative operation he or she used (comparison or coordination) when quantifying both ratio and rate. Illustrating how students can engage in different quantitative operations when quantifying rate, the Change in Covarying Quantities Framework helps to explain why students classified as operating at a particular level of covariational reasoning appear to be using different mental actions. Implications of this research include recommendations for designing instructional tasks to foster students' quantitative and covariational reasoning. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01